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Paper Citation Record · LEDGER

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport

As of 12 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 0 inbound Pith citation observations for arXiv:2606.21256.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.21256 v1

Coverage vector

measured 75 of 75 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-26T14:53:03.880593Z

measured 75 of 75 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

75 of 75 outbound references displayed

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  • verified fuzzy0
  • unresolved60
  • parse uncertain0
  • malformed identifier1
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External citation measurements

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Outbound references

Observation e52ba672-5a8d-445a-b596-fe0d065ff88e · outbound

This paper cites Denoising diffusion probabilistic models.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Denoising diffusion probabilistic models

Reference 1

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Observation a0850e36-e573-449c-8d39-3475a812655c · outbound

This paper cites Score-based generative modeling through stochastic differential equations.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Score-based generative modeling through stochastic differential equations

Reference 2

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Observation 30f4eef2-6294-4841-a0fd-f5b26936bae8 · outbound

This paper cites an unresolved cited work.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Unresolved cited work

Reference 3

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:d436a7f69f6f04a1e4ad0653d35dc17a5e5d81d78241c03bb29bc5ad1954f7a7

Observation 548260a7-1f8d-4ee0-aa4d-86f7e7f6ac3d · outbound

This paper cites Cambridge university press, 2017.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Cambridge university press, 2017

Reference 4

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Observation fabf05c2-7edb-4792-909a-373fbc18fa25 · outbound

This paper cites Quantum machine learning.Nature, 549(7671):195–202, 2017.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum machine learning.Nature, 549(7671):195–202, 2017

Reference 5

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Observation 1fb66cf6-bc65-40a1-b757-dca2fd7b8695 · outbound

This paper cites Quantum computing in the nisq era and beyond.Quantum, 2:79, 2018.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum computing in the nisq era and beyond.Quantum, 2:79, 2018

Reference 6

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:a69b3c0309ff78cb288e6cdab04fa6e6895aa99d791a020760f6d4a6788b59ed

Observation f7cc4430-5d29-4962-9a74-64f7ca042c89 · outbound

This paper cites Quantum machine learning in feature hilbert spaces.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum machine learning in feature hilbert spaces

Reference 7

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:36863d60708affa4ec61eff02be93a1b6e85dd76dc1d2d49ad1c3bba6ea75ba7

Observation 801f2d8c-597a-4620-82dc-626e2ff83d9f · outbound

This paper cites Geometry of quantum states.Communications in Mathematical Physics, 9(1):55–80, 1968.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Geometry of quantum states.Communications in Mathematical Physics, 9(1):55–80, 1968

Reference 8

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:757e4d66c202e002e9023353c6eb8eb2d186837bfbe09c9bff32ea801fdf99cf

Observation 8d3c56db-717c-4578-b3ff-00f6582283ed · outbound

This paper cites Complex hypersurfaces of a complex projective space.Journal of Differential Geometry, 3(1-2):253–256, 1969.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Complex hypersurfaces of a complex projective space.Journal of Differential Geometry, 3(1-2):253–256, 1969

Reference 9

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:b7d9d6534a79ed06e2d24285e79e0b12fdf0c1ccb8851b7fc616a39254c79d73

Observation 4456d8a5-8afa-48e4-8b3e-3d2faa5f1507 · outbound

This paper cites Metric learning on complex projective spaces.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Metric learning on complex projective spaces

Reference 10

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:c281e2f90370623025967e52b51d9d0a52eb9d419b980655969d47de810f3027

Observation 99350eb0-b3ac-4dd6-83c8-980f2056a775 · outbound

This paper cites The quantum-state diffusion model applied to open systems.Journal of Physics A, 25:5677–5691, 1992.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport The quantum-state diffusion model applied to open systems.Journal of Physics A, 25:5677–5691, 1992

Reference 11

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:a1addcfcd3fe887abcc4711f0c7e5246e9660df35b77f6bc2871b45cbe7bce73

Observation 1f59e523-4817-49b7-bde8-612b2c519614 · outbound

This paper cites Stochastic schrödinger equations.Journal of Physics A: Mathematical and General, 37(9):3189, 2004.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Stochastic schrödinger equations.Journal of Physics A: Mathematical and General, 37(9):3189, 2004

Reference 12

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:9d9fe360fbe51d63231bc4000cf6cbd2630a8adfe911321c96d46a0aa4eebe18

Observation 63f7e4e0-e63c-4782-a12c-e2a82ace895a · outbound

This paper cites Local-Time Riemannian Score Matching on the Quantum Pure-State Manifold.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Local-Time Riemannian Score Matching on the Quantum Pure-State Manifold

Reference 13

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:aa762488eb31f9c0468060638fd8fb7b8656c07c86e28200dc567dcb1f160e34

Observation bd4e41d1-a1a2-4bf8-9230-8709ec990f85 · outbound

This paper cites Flow Matching for Generative Modeling.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Flow Matching for Generative Modeling

Reference 14

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:b4bf6145be2e11c95ecd2a75ca4f4f5f28ccaf43f64e13f9d0170a97461a7534

Observation db0a4130-9838-4574-a88b-d52cc143199b · outbound

This paper cites Flow Matching on General Geometries.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Flow Matching on General Geometries

Reference 15

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Observation e3766856-65e6-433d-a333-b772ff66cda4 · outbound

This paper cites Generalized theory of interference, and its applications: Part i.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Generalized theory of interference, and its applications: Part i

Reference 17

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:19252aa320a4ed81d5ce6715027a72e1a3d869a46143b350d56d631b8b41686e

Observation 9247cfbf-69a2-4c93-9c5d-0408955a07b4 · outbound

This paper cites Deciphering pancharatnam’s discovery of geometric phase: retrospective.Journal of the Optical Society of America A, 40(5):925–931, 2023.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Deciphering pancharatnam’s discovery of geometric phase: retrospective.Journal of the Optical Society of America A, 40(5):925–931, 2023

Reference 18

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:7fa1d9bf1efb99ac3abce80d8f36f55f39368a11e892cad4d8982ea66522da7c

Observation f4a0ff1b-9f8a-4c45-b613-40abfa36f7ce · outbound

This paper cites Topological transitions of the generalized pancharatnam-berry phase.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Topological transitions of the generalized pancharatnam-berry phase

Reference 19

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:d985dd89dfb28f4509594a1b81a95e0a323a1b6a2dfe2e63aea69f5fd14d831d

Observation 090ca039-433c-4167-954d-740c3d6c2d5d · outbound

This paper cites Quantum probability distribution of arrival times and probability current density.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum probability distribution of arrival times and probability current density

Reference 20

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Observation cf451447-00db-47ff-89f2-a60dfd563e8a · outbound

This paper cites Electron spin and probability current density in quantum mechanics.American Journal of Physics, 82(7):681–690, 2014.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Electron spin and probability current density in quantum mechanics.American Journal of Physics, 82(7):681–690, 2014

Reference 21

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Observation 6696a74b-ee7f-448b-a4b9-a7bffbcd0b47 · outbound

This paper cites Springer, 2005.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Springer, 2005

Reference 22

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Observation c15c5d48-88bc-4aa4-9727-fbf7be6fa9cb · outbound

This paper cites Bohmian mechanics versus Madelung quantum hydrodynamics.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Bohmian mechanics versus Madelung quantum hydrodynamics

Reference 23

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Observation e4376dc1-dfa5-45df-bcc9-5e76096d489e · outbound

This paper cites Improving and generalizing flow-based generative models with minibatch optimal transport.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Improving and generalizing flow-based generative models with minibatch optimal transport

Reference 24

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:3ffe88100ae3760111876097dfb0f4831545dd7d72b32ea5c3ae548532a5f488

Observation 74859507-798a-44a9-918b-110a75749a25 · outbound

This paper cites Fast and smooth interpolation on wasserstein space.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Fast and smooth interpolation on wasserstein space

Reference 25

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:a0dcb61bb6efd29a2fcb188c5ebc0704951d50ce7e0f591e5b005ee730437d7c

Observation aa66ca2f-f4de-47cf-b6b7-e76fe244c866 · outbound

This paper cites Denoising diffusion implicit models, 2022.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Denoising diffusion implicit models, 2022

Reference 26

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:0814a08cbbfd25ec681ed0a4b9651b289bf5e0545c1af125999c55dcdc6da10a

Observation 5f3d4475-0f0d-45ab-b734-e88baedb1ecb · outbound

This paper cites Generative quantum machine learning via denoising diffusion probabilistic models.Physical Review Letters, 132(10):100602, 2024.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Generative quantum machine learning via denoising diffusion probabilistic models.Physical Review Letters, 132(10):100602, 2024

Reference 27

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:2f16b218a113d2c1be1cb4106afb61fddc828c5e9c449bd86ea4b1d6eb2a5d47

Observation a0ad32c7-568d-4bbd-b29f-c41260480ca8 · outbound

This paper cites Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemble.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemble

Reference 28

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Observation 1c498ee3-5ea4-45f1-b705-76a9b109da65 · outbound

This paper cites Quantum denoising diffusion models.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum denoising diffusion models

Reference 29

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:6803f3bdb192198cfe4b538961461c6b6133ad4cf994cf9b51bc6423cd92bb68

Observation 4372fc98-a343-48c3-b3aa-fc3c56695610 · outbound

This paper cites Mixed-state quantum denoising diffusion probabilistic model.Physical Review A, 111(3):032610, 2025.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Mixed-state quantum denoising diffusion probabilistic model.Physical Review A, 111(3):032610, 2025

Reference 30

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Observation 5662b41c-4b27-4e8e-aa82-025d85d194ed · outbound

This paper cites Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow

Reference 31

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Observation 282bdb28-6915-4c88-a0bb-ab54aea23558 · outbound

This paper cites Rectified Flow: A Marginal Preserving Approach to Optimal Transport.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Rectified Flow: A Marginal Preserving Approach to Optimal Transport

Reference 32

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Observation 28ff3fb9-104f-4149-8181-1e24af3f1696 · outbound

This paper cites Improving the training of rectified flows.Advances in neural information processing systems, 37:63082–63109, 2024.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Improving the training of rectified flows.Advances in neural information processing systems, 37:63082–63109, 2024

Reference 33

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:e84e47470d79d499b3c8c0d6a07cdc0eb2b665b1286f19cc2fa3b9b12283a38b

Observation 3e71d25e-0072-43d7-9a51-0b7b6a7aa7a1 · outbound

This paper cites Riemannian continuous normalizing flows.Advances in neural information processing systems, 33:2503–2515, 2020.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Riemannian continuous normalizing flows.Advances in neural information processing systems, 33:2503–2515, 2020

Reference 34

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Observation 25d5184d-2f5a-421c-950e-f8e994a8f608 · outbound

This paper cites Riemannian diffusion models.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Riemannian diffusion models

Reference 35

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Observation 340900f4-66f4-4244-b39f-8122cfbc5a87 · outbound

This paper cites Riemannian score-based generative modelling.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Riemannian score-based generative modelling

Reference 36

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:42124030c2dfbdcdb221db3b10385cf230ffc2080f32980f98edc2bedf8e41c1

Observation 9d65d40b-7b16-40fc-872d-0a21103a9824 · outbound

This paper cites Scaling riemannian diffusion models.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Scaling riemannian diffusion models

Reference 37

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:db25626e5e0735950b4ff83959fe00c431247526b83e2090c793101fec996784

Observation 1904a0e0-efd1-4efc-ba71-fa18ae50cf56 · outbound

This paper cites Adaptivity of diffusion models to manifold structures.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Adaptivity of diffusion models to manifold structures

Reference 38

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:61c21efe32ab4f739ccbb66bada5a00bdce766fe20030f021333aad9517e7eb2

Observation 7e723597-8c59-4812-af29-71996b89196e · outbound

This paper cites Continuous normalizing flows on manifolds.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Continuous normalizing flows on manifolds

Reference 39

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:df9fb209946528ca0df9835381eeba651fe69ef35b8b53d9f1a6617f226ce3ab

Observation 95f2ce94-e8b9-445b-b672-10b0769bf867 · outbound

This paper cites FlowMM: Generating Materials with Riemannian Flow Matching.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport FlowMM: Generating Materials with Riemannian Flow Matching

Reference 40

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:bf3f6a449a4129a7992ea12f5e7a58651fb094d8dd00437df9008b99c1bc5571

Observation 8fb55bab-52c1-44ed-a3ea-2bf812889c60 · outbound

This paper cites Equivariant flow matching.Advances in Neural Information Processing Systems, 36:59886–59910, 2023.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Equivariant flow matching.Advances in Neural Information Processing Systems, 36:59886–59910, 2023

Reference 41

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Observation 7648b57e-8480-4fd7-8952-2ba606c7b8ca · outbound

This paper cites Discrete flow matching.Advances in Neural Information Processing Systems, 37:133345–133385, 2024.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Discrete flow matching.Advances in Neural Information Processing Systems, 37:133345–133385, 2024

Reference 42

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:7301b277fdcf4128a38a966270944859d9ebf3a33a7aae710320b81982e39bf9

Observation 6d658828-9c36-474c-8d72-bbec10265203 · outbound

This paper cites Quantum Flow Matching.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum Flow Matching

Reference 43

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:7d11dcb90cb6d4866196d4b43884da323e4a357e3f62cd280c0ae467033bdab0

Observation f2441e25-0114-4c21-bcb2-e1ec6b8c392a · outbound

This paper cites Generative modeling of quantum distribution with functional flow matching.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Generative modeling of quantum distribution with functional flow matching

Reference 44

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:4fd0b8a47e18cc4a618674407f1abafa889792762ef1ffd0e14a0d94b5971503

Observation f4651742-3199-4b0a-8c93-0e75e75720b8 · outbound

This paper cites Functional Flow Matching.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Functional Flow Matching

Reference 45

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:50d26cff6d287afff7d7846756ff449dde885ded2964c4334529f16794527f17

Observation ade30fcf-3a83-4a69-b811-aee801833f50 · outbound

This paper cites Shadowfm: Geometric approaches for learning quantum many-body states with flow matching on classical shadows.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Shadowfm: Geometric approaches for learning quantum many-body states with flow matching on classical shadows

Reference 46

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:4ee47a01e8aee75a2d46caa0d2b03d69a5c934a1ff11903f16cba7547938d1f4

Observation 62458ac1-864d-47a7-8f5e-a970d8f3e745 · outbound

This paper cites Transport equation and cauchy problem for non-smooth vector fields.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Transport equation and cauchy problem for non-smooth vector fields

Reference 47

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:84c33cca68304c2015562986cdbb727ea447812765784fad66ce0857a6c21659

Observation 289c0fc4-7077-441c-a3c8-5d245bb322d5 · outbound

This paper cites Stability of a 4th-order curvature condition arising in optimal transport theory.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Stability of a 4th-order curvature condition arising in optimal transport theory

Reference 48

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:ae23e3be361b1c4d3413948e9152aa6f54d941ccb6e752108fa1c24d838b06ad

Observation 3c60e0e2-5902-4093-9708-cc01229e49ad · outbound

This paper cites Smooth maps.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Smooth maps

Reference 49

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:483f6b9273458fb17c2b35a5169e5b7d3a242c14700e47f26132aded3709f746

Observation a32a45de-e182-46af-9f4a-6a66f20f2964 · outbound

This paper cites Quantum generative adversarial learning.Physical Review Letters, 121(4):040502, 2018.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum generative adversarial learning.Physical Review Letters, 121(4):040502, 2018

Reference 50

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:3b2c445b2d69e2f44edcf60e2a9071341760c034404f180b6d58acc83532c08e

Observation 0a1bf4fc-8ad7-4f8d-835e-026ee24740c0 · outbound

This paper cites Quantum generative adversarial networks.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum generative adversarial networks

Reference 51

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:094648e36c1b731e4d566ef928d132c412feb2d8737568414708052be92e99a4

Observation 28f84b3f-588f-4fc2-8a6c-05fa79b87f75 · outbound

This paper cites A kernel two-sample test.The journal of machine learning research, 13(1):723–773, 2012.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport A kernel two-sample test.The journal of machine learning research, 13(1):723–773, 2012

Reference 52

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:53c7b0cdd3bee7abca8ce5e2dd91f9a4d15f08934d91b8309de36981647b4a45

Observation c872ae34-65b2-473b-a790-b1fd620edc00 · outbound

This paper cites Differentiable learning of quantum circuit born machines.Physical Review A, 98(6):062324, 2018.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Differentiable learning of quantum circuit born machines.Physical Review A, 98(6):062324, 2018

Reference 53

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:57314c75e5f770153b04449808e002cb07f59da27773dbf76e5d16abf144b446

Observation fde5fa5a-e322-4c8d-b4f2-ffad9783a7c5 · outbound

This paper cites The born supremacy: quantum advantage and training of an ising born machine.npj Quantum Information, 6(1):60, 2020.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport The born supremacy: quantum advantage and training of an ising born machine.npj Quantum Information, 6(1):60, 2020

Reference 54

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:623c2a6d0c7fe88a606f62dd159bf7c59e18d6cc73b177d09965b18874b45ecb

Observation 538aeea3-a4fd-40a3-b1a4-c3b6abf08916 · outbound

This paper cites A generative modeling approach for benchmarking and training shallow quantum circuits.npj Quantum information, 5(1):45, 2019.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport A generative modeling approach for benchmarking and training shallow quantum circuits.npj Quantum information, 5(1):45, 2019

Reference 55

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:f87d4828d45d55c19f569a0aac2d726928071348216ad246b73407133bd58b33

Observation 624ce66d-646d-49c6-bdce-51157e47f145 · outbound

This paper cites Quantum boltzmann machine.Physical Review X, 8(2):021050, 2018.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum boltzmann machine.Physical Review X, 8(2):021050, 2018

Reference 56

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:17ed5d9344e2baf1e2300ea8cd27283a69a6be87aa377e35903a540f7364fde4

Observation 96ea51f6-816b-43a6-b4e9-a7a38a442865 · outbound

This paper cites Dynamic conditional optimal transport through simulation-free flows.Advances in Neural Information Processing Systems, 37:93602– 93642, 2024.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Dynamic conditional optimal transport through simulation-free flows.Advances in Neural Information Processing Systems, 37:93602– 93642, 2024

Reference 57

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:0043f99ea8c6c17ae7ac230280663e9f019a86824380d982caa8cf82ebdae290

Observation a7bab2c8-b272-470b-9946-62c490670c02 · outbound

This paper cites Distributed wasserstein barycenters via dis- placement interpolation.IEEE Transactions on Control of Network Systems, 10(2):785–795, 2022.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Distributed wasserstein barycenters via dis- placement interpolation.IEEE Transactions on Control of Network Systems, 10(2):785–795, 2022

Reference 58

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:c58197c40b824504fbd8c4c786944045d04dc4a992ef1856b5fc49586265ee3f

Observation 4b9f2d94-1caf-43ff-a488-a6bbd0471839 · outbound

This paper cites A benamou-brenier proximal splitting method for constrained unbalanced optimal transport.arXiv preprint arXiv:2512.09250, 2025.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport A benamou-brenier proximal splitting method for constrained unbalanced optimal transport.arXiv preprint arXiv:2512.09250, 2025

Reference 59

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:8c24dbcd02ea2dd30bbc7dec9ed16ed976ede0fb339020f878f163f5ed96662e

Observation dd8f9568-fbdf-499a-8ee1-670a6fd91a60 · outbound

This paper cites Noncyclic continuous pancharatnam–berry phase in dual-beam interfer- ence.Communications Physics, 6(1):132, 2023.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Noncyclic continuous pancharatnam–berry phase in dual-beam interfer- ence.Communications Physics, 6(1):132, 2023

Reference 60

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:f0c3a575aa0d076f15f650b116837327f0e47e3530a8afaea00d2e51c9032be2

Observation 491505c1-8a45-42f5-b19a-f016f8cd3159 · outbound

This paper cites Waveguiding driven by the pancharatnam-berry phase.Physical Review A, 107(1):013523, 2023.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Waveguiding driven by the pancharatnam-berry phase.Physical Review A, 107(1):013523, 2023

Reference 61

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Observation 568ea82f-b217-42f8-bccd-a401ab9fe255 · outbound

This paper cites Quantum hydrodynam- ics of particle systems with coulomb interaction and quantum bohm potential.Theoretical and Mathematical Physics, 118(2):227–240, 1999.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum hydrodynam- ics of particle systems with coulomb interaction and quantum bohm potential.Theoretical and Mathematical Physics, 118(2):227–240, 1999

Reference 62

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:c94a7c86eb663235445acefc4dc0f0e1d46992258bfebbbeca60bb57680e1831

Observation 9dd68f1e-7857-4ef2-bad7-463ca0286b39 · outbound

This paper cites Neural ordinary differential equations.Advances in neural information processing systems, 31, 2018.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Neural ordinary differential equations.Advances in neural information processing systems, 31, 2018

Reference 63

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:18915b424cdf050435b5c5576e5b6b0dee8be4d59e4debc6a09124f46f71c936

Observation ba5770d9-e8f1-4f76-a4d0-846309b8afe6 · outbound

This paper cites Atomic coherent states in quantum optics.Physical Review A, 6(6):2211, 1972.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Atomic coherent states in quantum optics.Physical Review A, 6(6):2211, 1972

Reference 64

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:c4bad2cf24dccfcc28ff7661220ac73b6bcb36e2be34adf77104e9b78fcf4e97

Observation 1776f654-f778-487e-ab97-772ffc72d58f · outbound

This paper cites Cambridge university press Cambridge, 1995.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Cambridge university press Cambridge, 1995

Reference 65

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:7fb2da76ab73cd9c7a898470b44f73bb2cb3715b6e578b7de23d368c3c0ac569

Observation 4de034f0-85b6-44e4-816c-f36547a2b5cd · outbound

This paper cites Quantum communication through an unmodulated spin chain.Physical review letters, 91(20):207901, 2003.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Quantum communication through an unmodulated spin chain.Physical review letters, 91(20):207901, 2003

Reference 66

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Observation 700a81b8-bc01-4b60-8335-1898551cca77 · outbound

This paper cites Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 2002.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 2002

Reference 67

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Observation 01941a7f-8a73-40b1-8cc8-bc948bfbc1fb · outbound

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Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Unresolved cited work

Reference 68

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Observation 81c0e3fb-83b8-4a53-a23b-fd5d264a3574 · outbound

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Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Unresolved cited work

Reference 69

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Observation ba746dd8-cb80-4099-a168-eab8a7c4e834 · outbound

This paper cites Lemma 1(Phase alignment maximizes real overlap).Let ψ0, ψ1 ∈C d be unit vectors with ⟨ψ0, ψ1⟩ ̸= 0.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Lemma 1(Phase alignment maximizes real overlap).Let ψ0, ψ1 ∈C d be unit vectors with ⟨ψ0, ψ1⟩ ̸= 0

Reference 70

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Observation bf689f93-738d-4ac8-8231-61b1c5880a8b · outbound

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Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Unresolved cited work

Reference 71

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Observation 9b3c25a8-55f9-4496-8323-47b2f10145ed · outbound

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Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Unresolved cited work

Reference 72

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Observation 82d1c887-db44-410c-a3c6-ccf743729a52 · outbound

This paper cites This proves Proposition 8.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport This proves Proposition 8

Reference 73

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source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:d60834a9244aadf2ceebe1c3324faadcc323a3a0f7ae3d5910214d31ce3c6b6f

Observation 9d466ac1-3f04-4d08-81cc-2d15875c83e5 · outbound

This paper cites Hence ¯ψ′ 1 =α(ψ ′ 0, ψ′ 1)−1ψ′ 1 =e iθ0 α(ψ0, ψ1)−1ψ1 =e iθ0 ¯ψ1.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport Hence ¯ψ′ 1 =α(ψ ′ 0, ψ′ 1)−1ψ′ 1 =e iθ0 α(ψ0, ψ1)−1ψ1 =e iθ0 ¯ψ1

Reference 74

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unresolved
no resolver link, observed 2026-06-26T14:53:03.880593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:ad442478b9a6749733f1953b3a10cf52af9fbd8d8ff2079251c4f473b77cec8f

Observation b85bbf8a-3d00-4e68-b6d5-a434e746696a · outbound

This paper cites No phase alignment.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport No phase alignment

Reference 75

Resolution
malformed identifier
no resolver link, observed 2026-06-26T14:53:03.880593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:e232631fb9c12dba8e86df37a4ff405e8c3d3110db191acfe7372e8c7ec98368

Observation 60e2f8eb-f7dd-4f2a-bd5f-6af3c65bc1c4 · outbound

This paper cites • Depending on the country in which research is conducted, IRB approval (or equivalent) may be required for any human subjects research.

Intrinsic Flow Matching on Quantum Pure-State Manifolds with Phase-Aligned Transport • Depending on the country in which research is conducted, IRB approval (or equivalent) may be required for any human subjects research

Reference 76

Resolution
unresolved
no resolver link, observed 2026-06-26T14:53:03.880593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T14:53:03.880593Z digest=sha256:3652c3504c735b06863afdb66a51e6a62ab2d206514dadc323ec44b7ce6593a1

Pith citing papers

No inbound Pith citation observations are available.